June 21-25, 1999 Porto, Portugal



The central theme of the workshop is the interaction between a certain complex of ideas in nonlinear and nonsmooth analysis on the one hand, and its attendant applications in control on the other. The considerable surge of activity in the area of viscosity solutions, and many recent developments in such fields as critical point theory and functional analysis, are based upon these ideas whose common denominator is the need to deal analytically with nonsmooth phenomena. It is only recently that the surprising degree of unity among the various parts of this complex is truly becoming apparent, and we expect the workshop to be an influential event in the subject. The workshop will have plenary lectures, contributed sessions and generous time for discussions. Recognized experts will lecture on those aspects of nonlinear analysis that are principally involved:

* nonsmooth analysis
* variational principles
* viscosity solutions
* discontinuous differential equations

as well as on relevant topics in control theory:

* stabilization and feedback synthesis
* differential games
* robust and optimal control

This Workshop, then, will be devoted in part to the training of researchers on the dual theme of nonlinear analysis, together with modern control theory and differential equations from a unified point of view. A further objective is to highlight unsolved problems and new application areas in which the underlying mathematical techniques in question seem destined to play an important role. These topics include shape optimization, hysteresis, and nonsmooth methods in collision theory and elasticity.



The Workshop will include eight plenary lectures and a limited number contributed talks. More details will be known later on.


* Prof. Zvi Artstein, The Weizmann Institute of Science, Israel
* Prof. Martino Bardi, Università di Padova, Italy
* Prof. Francis Clarke, Université Lyon I, France
* Prof. Petar Kokotovic, University of California, Santa Barbara, USA
* Prof. Yuri Ledyaev, Steklov Institute of Mathematics, Russia
* Prof. Eduardo Sontag, Rutgers University, USA
* Prof. Richard Vinter, Imperial College, UK
* Prof. Jan C. Willems, University of Groningen, the Netherlands


The official language of the Workshop will be English.


If interested in participating you should apply by filling in the registration form available on the Workshop Web site and submit it by e-mail before April 30, 1999. Those participants proposing to give a talk within the above research areas should include an abstract of one page or less in the registration form. Alternatively the abstract can be sent to the Chairman of the selection committee:

Prof. Francis Clarke
Institut Desargues (bat 101)
Université de Lyon I (La Doua)
69622 Villeurbanne France.



The Workshop on Nonlinear Analysis and Control Theory will take place at Seminario de Vilar, a Conference Centre, right in the heart of Porto, overlooking River Douro. Porto, internationally known for its Port Wine, is the metropolis and trade centre of the North of Portugal. The airport, 20 mins drive from the city, provides daily services to many of the main cities in the world. Located by the sea and on the north bank of River Douro, Porto is certainly an imposing sight to the visitor. The end of June is the one of the best times of the year to visit Porto. In addition to the temperate climate and long days, there is on the 23rd the not-to-be-missed "Festa de S. João". Within easy reach from Porto there is a wide variety of sites you can visit from rugged mountains to peaceful valleys and a lovely seaside. All year round, the very hospitable people of the North of Portugal offer a warm welcome to all.


The Conference Centre, Seminario de Vilar has around 100 simple and comfortable rooms, at very reasonable rates. All rooms in Seminerio de Vilar have two single beds and bathroom. However they are not equipped with telephone or TV set. Those attending the Workshop may book a room at Seminario de Vilar by filling in the form available on the Web site and send it by fax or post to the Seminario de Vilar. Please do not hesitate to contact the Workshop organization in case of any difficulties or to find alternative accommodation.

Workshop organization:

Web site: